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Finding the Fourth Proportional to 3,097.52, 4,650.90 and 1,252.24

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Solution

The fourth proportional to 3,097.52, 4,650.90 and 1,252.24 is: 1,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.52 : 4,650.90 = 1,252.24 : x
  2. Step 2: Convert to fraction form
    3,097.52/4,650.90 = 1,252.24/x
  3. Step 3: Cross multiply
    3,097.52x = 4,650.90 × 1,252.24
  4. Step 4: Simplify right side
    3,097.52x = 5,824,057.26
  5. Step 5: Solve for x
    x = 5,824,057.26/3,097.52
  6. Step 6: Final answer
    x = 1,880.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.